use the properties of operations and rules for multiplying and dividing signed numbers to solve:

(-4) x (7/5) x (-3/4) ÷ (7/15).

A. 9
B. 147/75
C. -147/75
D. -9

1 answer

To solve this expression, we can follow the order of operations (PEMDAS).

First, let's simplify the multiplication and division.

(-4) x (7/5) x (-3/4) ÷ (7/15)

=(-4) x (-7/5) x (-3/4) ÷ (7/15)

Now, let's multiply the numbers together.

=(-4)(-7)(-3)/(5)(4)(7)/(15)

=84/20/7/15

Next, let's simplify the division by multiplying by the reciprocal.

=(84/20)(1/7)(15/1)

= (84/20)(15/7)

= (84)(15)/(20)(7)

= 1260/140

= 9

Therefore, the answer is A. 9.